1. Determine if the integral is convergent or divergent and evaluate it if it is convergent: 1 (3x+ 1)2 dx 2. Use the integral test to determine if the series is convergent or divergent: 1 n=1 n2 (vn ) 3. Use the limit comparison test to determine if the series is convergent or divergent : 1 Vn2+ 1 n=1 4. Use the ratio test to determine if the series converges or diverges : n! (6*) (n2 ) n=1 5. Use the root test to determine if the series converges or diverges : 00 n2+ 1 n 2n + 1 n=1